I.—On Polyzomal Curves, otherwise the Curves √U + √V + &c. = 0

Open Access
Publisher Website
Google Scholar
Abstract
If U, V, &c, are rational and integral functions (٭)(x, y, z)r, all of the same degree r, in regard to the co-ordinates (x, y, z), then √U + √V + &c. is a polyzome, and the curve √U + √V + &c. = 0 a polyzomal curve. Each of the curves √U = 0, √V = 0, &c. (or say the curves U = 0, V = 0, &c.) is, on account of its relation of circumscription to the curve √U + √V + &c. = 0, considered as a girdle thereto (ζῶμα) and we have thence the term “zome” and the derived expressions “polyzome,” “zomal,” &c. If the number of the zomes √U, √V, &c. be = ν, then we have a ν-zome, and corresponding thereto a ν-zomal curve; the curves U = 0, V = 0, &c., are the zomal curves or zomals thereof.

This publication has 0 references indexed in Scilit: